Details

Time bar (total: 35.9s)

sample53.0ms

Algorithm
intervals
Results
37.0ms326×body80valid

simplify34.0ms

Calls
1 calls:
Slowest
34.0ms
(/ (* a1 a2) (* b1 b2))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize9.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ (* a1 a2) (* b1 b2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Calls
1 calls:
Slowest
17.0ms
(/ (* a1 a2) (* b1 b2))

series36.0ms

Calls
1 calls:
Slowest
36.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.1s

Calls
13 calls:
Slowest
733.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
687.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
621.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
473.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
164.0ms
(- (+ (log a1) (log a2)) (+ (log b1) (log b2)))

prune268.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

8.6b
(/ (* b1 b2) (* a1 a2))
1.2b
(/ 1 (/ (* b1 b2) (* a1 a2)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
32×add-cbrt-cube
26×div-exp
20×times-frac
16×prod-exp
13×cbrt-undiv
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×cbrt-unprod
6×associate-/r* div-inv
5×rec-exp 1-exp
4×associate-/l*
3×pow1
2×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Calls
2 calls:
Slowest
26.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
14.0ms
(/ (* b1 b2) (* a1 a2))

series85.0ms

Calls
2 calls:
Slowest
49.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
35.0ms
(/ (* b1 b2) (* a1 a2))

simplify14.1s

Calls
70 calls:
Slowest
950.0ms
(/ (* (* 1 1) 1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2))))
840.0ms
(/ (* (* 1 1) 1) (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2))))
789.0ms
(/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2)))
755.0ms
(/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a1) a1) (* (* a2 a2) a2)))
738.0ms
(/ (* (* 1 1) 1) (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* (* a1 a1) a1) (* (* a2 a2) a2))))

prune832.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

9.4b
(* (/ (/ 1 b2) b1) (* a1 a2))
0.2b
(/ (/ 1 b2) b1)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
79×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×add-exp-log
43×associate-*l*
28×add-cbrt-cube
18×div-exp
15×prod-exp
13×associate-/l*
9×cbrt-undiv cbrt-unprod div-inv
7×pow1
3×rec-exp associate-/r* 1-exp pow-prod-down
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg associate-*r* associate-*l/ *-commutative associate-/l/
Calls
2 calls:
Slowest
36.0ms
(* (/ (/ 1 b2) b1) (* a1 a2))
9.0ms
(/ (/ 1 b2) b1)

series56.0ms

Calls
2 calls:
Slowest
41.0ms
(* (/ (/ 1 b2) b1) (* a1 a2))
14.0ms
(/ (/ 1 b2) b1)

simplify10.9s

Calls
164 calls:
Slowest
443.0ms
(+ (log (/ (/ 1 b2) b1)) (+ (log a1) (log a2)))
432.0ms
(+ (- (- 0 (log b2)) (log b1)) (+ (log a1) (log a2)))
415.0ms
(+ (- (- (log 1) (log b2)) (log b1)) (+ (log a1) (log a2)))
401.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))
375.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

5.8b
(* a1 (/ a2 (* b2 b1)))
5.5b
(/ a2 (* b2 b1))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num associate-/r* frac-2neg pow-prod-down associate-*r/ *-commutative unswap-sqr
Calls
2 calls:
Slowest
29.0ms
(* a1 (/ a2 (* b2 b1)))
7.0ms
(/ a2 (* b2 b1))

series57.0ms

Calls
2 calls:
Slowest
35.0ms
(* a1 (/ a2 (* b2 b1)))
22.0ms
(/ a2 (* b2 b1))

simplify2.4s

Calls
37 calls:
Slowest
456.0ms
(* (* (* a1 a1) a1) (/ (* (* a2 a2) a2) (* (* (* b2 b1) (* b2 b1)) (* b2 b1))))
353.0ms
(* (* (* a1 a1) a1) (/ (* (* a2 a2) a2) (* (* (* b2 b2) b2) (* (* b1 b1) b1))))
303.0ms
(+ (log a1) (- (log a2) (+ (log b2) (log b1))))
173.0ms
(+ (log a1) (- (log a2) (log (* b2 b1))))
169.0ms
(* (* (* a1 a1) a1) (* (* (/ a2 (* b2 b1)) (/ a2 (* b2 b1))) (/ a2 (* b2 b1))))

prune573.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes665.0ms

Accuracy

53% (5.2b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 11.1b

bsearch6.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
819.0ms10002×body80valid